8,676 research outputs found

    Approximate Analytical Solution of Advection-Dispersion Equation By Means of OHAM.

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    This work deals with the analytical solution of advection dispersion equation arising in solute transport along unsteady groundwater flow in finite aquifer. A time dependent input source concentration is considered at the origin of the aquifer and it is assumed that the concentration gradient is zero at the other end of the aquifer. The optimal homotopy analysis method (OHAM) is used to obtain numerical and graphical representation

    Homotopy Analysis Approach of Boussinesq Equation for Infiltration Phenomenon in Unsaturated Porous Medium.

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    oai:ojs.pkp.sfu.ca:article/11Boussinesq’s equation is one-dimensional nonlinear partial differential equation which represents the infiltration phenomenon. This equation is frequently used to study the infiltration phenomenon in unsaturated porous medium. Infiltration is the process in which the groundwater of the water reservoir has entered in the unsaturated soil through vertical permeable wall. An approximate analytical solution of nonlinear partial differential equation is presented by homotopy analysis method. The convergence of homotopy analysis solution is discussed by choosing proper value of convergence control parameter. The solution represents the height of free surface of infiltrated water

    Synthesis and antimicrobial activity of some hybrid 2-aryl-4-(1-phenyl-3-(p-tolyl)-1H-pyrazol-4-yl)-2,3-dihydro-1H-benzo[b][1,4]diazepine derivatives

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    238-246Some new hybrid 2-aryl-4-(1-phenyl-3-(p-tolyl)-1H-pyrazol-4-yl)-2,3-dihydro-1H-benzo[b][1,4]diazepines have been synthesised which possessed the pyrazole and benzodiazepine heterocycles 2a-t. Antimicrobial evaluation of the synthesized compounds have been carried out against different strains of bacteria like E. coli, P. aeruginosa, S. aureus and S. pyogenes and fungal strains like C. albicans, A. niger and A. clavatus using serial dilution method. The newly synthesized compounds 2i, 2j, 2k, 2l, 2m, 2q and 2t have shown significant activity against the above mentioned strains. The reported compounds in the present paper are supported by IR, 1H and 13C NMR, and LC-MS spectral analysis

    An Approximate Analytical Solution of the Burger's Equation for Longitudinal Dispersion Phenomenon Arising in Fluid Flow through Porous Medium

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    The present paper discusses the longitudinal dispersion phenomenon in miscible fluid flow through porous medium. The mathematical formulation yields a nonlinear partial differential equation in the form of Burger's equation. An approximate analytical solution of the Burger's equation for longitudinal dispersion phenomenon has been obtained. Homotopy analysis method is adopted to solve this equation with suitable boundary conditions. The numerical interpretation of solution has been obtained at distancex for a given timet. The graphical interpretation of solution has been also given by Mathematica software

    On the instantaneous distribution of vertical velocity in the monsoon field and structure of the monsoon circulation

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    Analytic Analysis for Oil Recovery During Cocurrent Imbibition in Inclined Homogeneous Porous Medium

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    This paper focuses on the analysis of cocurrent imbibition phenomenon which occurs during secondary oil recovery process.In cocurrent imbibition, a strongly wetting phase(water) displaces a non-wetting phase(oil) spontaneously under the influence of capillary forces such that the oil moves in the same direction to the water. We use an optimal homotopy analysis method to derive an approximate analytical expression for saturation of water when the viscosity of the non-wetting phase is non-negligible

    Cyclogenesis in the Bay of Bengal and Arabian sea

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    Human-mobility-based sensor context-aware routing protocol for delay-tolerant data gathering in multi-sink cell-phone-based sensor networks

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    Ubiquitous use of cell phones encourages development of novel applications with sensors embedded in cell phones. The collection of information generated by these devices is a challenging task considering volatile topologies and energy-based scarce resources. Further, the data delivery to the sink is delay tolerant. Mobility of cell phones is opportunistically exploited for forwarding sensor generated data towards the sink. Human mobility model shows truncated power law distribution of flight length, pause time, and intercontact time. The power law behavior of inter-contact time often discourages routing of data using naive forwarding schemes. This work exploits the flight length and the pause time distributions of human mobility to design a better and efficient routing strategy. We propose a Human-Mobility-based Sensor Context-Aware Routing protocol (HMSCAR), which exploits human mobility patterns to smartly forward data towards the sink basically comprised of wi-fi hot spots or cellular base stations. The simulation results show that HMSCAR significantly outperforms the SCAR, SFR, and GRAD-MOB on the aspects of delivery ratio and time delay. A multi-sink scenario and single-copy replication scheme is assumed
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